Theorems · Definition · linear algebra

Submodule.mkQ

{R : Type u_1} →
  {M : Type u_2} →
    [inst : Ring R] → [inst_1 : AddCommGroup M] → [inst_2 : Module R M] → (p : Submodule R M) → M →ₗ[R] M ⧸ p

The map from a module M to the quotient of M by a submodule p as a linear map.

Defined in

Mathlib.LinearAlgebra.Quotient.Defs

Cited by

232 results in Mathlib

Foundations

Depth 84 from the axioms, rests on 1,110 definitions · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModule